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    Brooks' Theorem: Graph Coloring and Critical Graphs

    Brooks' Theorem by Stiebitz, Michael; Schweser, Thomas; Toft, Bjarne;

    Graph Coloring and Critical Graphs

    Series: Springer Monographs in Mathematics;

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      • Publisher's listprice EUR 181.89
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        77 157 Ft (73 483 Ft + 5% VAT)
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      • Discounted price 70 985 Ft (67 604 Ft + 5% VAT)

    77 157 Ft

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    Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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    Product details:

    • Edition number 2024
    • Publisher Springer
    • Date of Publication 15 March 2024
    • Number of Volumes 1 pieces, Book

    • ISBN 9783031500640
    • Binding Hardback
    • No. of pages655 pages
    • Size 235x155 mm
    • Language English
    • Illustrations 61 Illustrations, black & white
    • 695

    Categories

    Short description:

    Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory ? it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.

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    Long description:

    Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory ? it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.

    ?There are multiple problems in each chapter, copious notes on the results and a substantial bibliography. It seems likely this book will be a valuable resource for results and methods in this area for a long time.? (David B. Penman, zbMATH 1536.05004, 2024)

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    Table of Contents:

    1 Degree Bounds for the Chromatic Number.- 2 Degeneracy and Colorings.- 3 Colorings and Orientations of Graphs.- 4 Properties of Critical Graphs.- 5 Critical Graphs with few Edges.- 6 Bounding ? by ? and ?.- 7 Coloring of Hypergraphs.- 8 Homomorphisms and Colorings.- 9 Coloring Graphs on Surface.- Appendix A: Brooks? Fundamental Paper.- Appendix B: Tutte?s Lecture from 1992.- Appendix C: Basic Graph Theory Concepts.

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